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The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces

✍ Scribed by Guoliang Chen; Yifeng Xue


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
293 KB
Volume
285
Category
Article
ISSN
0024-3795

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Perturbation of null spaces with applica
✍ Konstantin E. Avrachenkov; Moshe Haviv πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 208 KB

We consider properties of a null space of an analytically perturbed matrix. In particular, we obtain Taylor expansions for the eigenvectors which constitute a basis for the perturbed null space. Furthermore, we apply these results to the calculation of Puiseux expansion of the perturbed eigenvectors